Mathematical notes of NEFU
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mathematical notes of NEFU:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Mathematical notes of NEFU, 2017, Volume 24, Issue 3, Pages 90–99
DOI: https://doi.org/10.25587/SVFU.2018.3.10892 (Mi svfu193) 		 
Mathematical modeling

Numerical recovering of leading coefficient of nonlinear parabolic equation

D. Kh. Ivanov

M. K. Ammosov North-Eastern Federal University Institute of mathematics and Informatics 48 Kulakovsky Street, Yakutsk 677891, Russia
Full-text PDF (184 kB)
References:
PDF
HTML
DOI: https://doi.org/10.25587/SVFU.2018.3.10892
Abstract: We numerically recover the leading coefficient of one parabolic equation in a multidimensional region. We consider the case when the leading coefficient depends only on solution itself and observations are taken in some interior points of the region as an additional condition. Finite element method implemented by FEniCS library is used for numerical solution of the problem. Several examples of identification of the leading coefficient of a two-dimensional parabolic equation are given.
Keywords: inverse coefficient problem, parabolic equation, finite element method, FEniCS.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00689_а
The work was supported by RFBR (grant 17–01–00689).
Received: 26.06.2017
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: D. Kh. Ivanov, “Numerical recovering of leading coefficient of nonlinear parabolic equation”, Mathematical notes of NEFU, 24:3 (2017), 90–99
Citation in format AMSBIB
\Bibitem{Iva17}
\by D.~Kh.~Ivanov
\paper Numerical recovering of leading coefficient of nonlinear parabolic equation
\jour Mathematical notes of NEFU
\yr 2017
\vol 24
\issue 3
\pages 90--99
\mathnet{http://mi.mathnet.ru/svfu193}
\crossref{https://doi.org/10.25587/SVFU.2018.3.10892}
\elib{https://elibrary.ru/item.asp?id=32651438}
Linking options:
  • https://www.mathnet.ru/eng/svfu193
  • https://www.mathnet.ru/eng/svfu/v24/i3/p90
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Mathematical notes of NEFU
    Statistics & downloads:
    Abstract page:146
    Full-text PDF :92
    References:33
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024